2144457013248 has 384 divisors, whose sum is σ = 7294656096000. Its totient is φ = 615630274560.

The previous prime is 2144457013217. The next prime is 2144457013291. The reversal of 2144457013248 is 8423107544412.

2144457013248 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 570 + 1 + 32 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11464086 + ... + 11649642.

It is an arithmetic number, because the mean of its divisors is an integer number (18996500250).

Almost surely, 2^{2144457013248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144457013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647328048000).

2144457013248 is an abundant number, since it is smaller than the sum of its proper divisors (5150199082752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144457013248 is a wasteful number, since it uses less digits than its factorization.

2144457013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185618 (or 185592 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2144457013248 in words is "two trillion, one hundred forty-four billion, four hundred fifty-seven million, thirteen thousand, two hundred forty-eight".